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A Dynamic Programming Approach for Consistency and Propagation for Knapsack Constraints
journal contributionposted on 1975-01-01, 00:00 authored by Michael TrickMichael Trick
Knapsack constraints are a key modeling structure in constraint programming. These constraints are normally handled with simple bounding arguments. We propose a dynamic programming structure to represent these constraints. With this structure, we are able to achieve hyper-arc consistency, to determine infeasibility before all variables are set, to generate all solutions quickly, and to provide incrementality by updating the structure after domain reduction. Testing on a difficult set of multiple knapsack instances shows significant reduction in branching.